Each square is identified by a number from one to sixty-four in what appears to be a random arrangement.  These numbers are used by practitioners to identify a specific divinatory hexagram reading which has been determined by using one of the oracle methods.

The matrix arrangement consists of eight columns and rows, which are individually identified by one of the eight different trigram symbols.

The sequential arrangement of trigrams placed horizontally along the top of the matrix (from the 1st left hand column to the 8th column on the right) is the same as the trigram sequence that is placed vertically (from the 1st row at the top to the 8th row at the bottom) along the left hand side of the matrix.

A trial experiment and mathematical exercise was conducted with the thirteen anomalous hexagrams, mentioned previously, which were placed on a blank display matrix board in their respective positions. Amazingly, the position of all thirteen hexagrams formed a symmetrical pattern either side of an imaginary straight diagonal line, drawn from the top left hand corner to the bottom right hand corner of the board.  This arrangement was not coincidental!  It was a deliberate design which had been pre-planned by the originators of the I Ching to convey something of importance to the initiates.  How exciting it is when one finds something that may have been mislaid or lost for centuries – This pattern represented an enigma.

The Hidden Design :

Looking more closely at the positional arrangement created by the thirteen hexagrams, I became aware of something hidden in the pattern formed on the board.  I started to draw lines between each specific square.  To my astonishment they revealed a geometrical design, which was a right angled triangle with side squares.

The design of this triangle and the associated squares represents the geometrical proposition of Pythagora:

Quote, "The square of the hypotenuse of a right angle triangle is

equal to the sum of the squares on the other two sides". unquote.

As a result of this discovery, I thought that there could be additional geometrical and mathematical information hidden within this pattern.  Further lines were drawn between various points and by trial and error a unique pentagonal shape was revealed.  This caused quite a sensation and raised more questions than answers.  For instance, why would the originators go to so much trouble in designing an encrypted coded system, to simply produce just a few geometrical images such as the pentagon?

The Pentagon :

This five sided pentagon represents a mystical symbol and is directly linked to a pentagram, which in the western world represents the the “five limbed” microcosm of man.  However it is said that:

Fundamental to all forms of Chinese divination is the significance of the FIVE CARDINAL POINTS (and the EIGHT DIRECTIONS).Without a thorough understanding of their symbolism it is impossible to interpret any horoscope. For this reason, the principles of the Five Cardinal Points "must precede any account" of the stars, planets or astrological techniques. The Five Cardinal points are the Four Directions (East, South, West and North) and the Centre.

Every aspect of Chinese philosophy is linked to the Five Cardinal Points and The Eight Directions viz, the five elements, the five planets, the five senses, the relationships within the family and the eight trigrams, in fact every possible classification and category.

Thus, the pentagon in some mystical way represents the Tree of Knowledge, which was hidden away from the eyes of the uninitiated.  This seemed to be a plausible answer.  But why was this pentagonal figure used?  In addition, one important question remained, as to what was the reason for hiding it?  If the knowledge the pentagon contained or the ancient message incorporated within its shape was deemed to be sacred, then it may have had some relationship to either a Chinese or a Tibetan secret astrological practice.

Measurement of Mathematical Co-ordinates & Discovery of Mathematical Constants :

Investigation of Combinatory Methodology :

An investigation conducted on the initial combinatory methodology which created these pictographic images showed, that a considerable amount of hexagram repetition had occurred which had been not only time consuming but also unnecessary. A simpler and more accurate calculating model was therefore envisaged.  After several weeks work, together with additional research on the inherent binary code within the I Ching text, a new model hexagram calculator emerged from the design board which was developed to produce the "H" system slide rule (Refer to the Secret Computer of the Ancient Gods - Volume 1 Part 2 - Chapter 26 and Appendix 3 therein).

This new model, now rearranged as a central processing unit, can compute and select trigrams in a specific manner and is of a linear design which performs the same functions as that of the ancient cyclic sequence analogue design of the I Ching Computer System.

Copyright © J. C. Compton - 2007